Congratulations! Of course, records were meant to be beaten. It occurs to me that we're still quite a way from a theoretical time, and that your two records have
conflicting driving strategies.
1. Coast to coast fastest time in an EV of 58 hours and 55 minutes and 25 seconds. Is now the current record held by Rod Hawk, Deena Mastracci and Carl Reese as of April 19th 2015. They have broken the the unofficially time set by edumonds.com on July 16, 2014.
There is a dilemma when you otherwise have enough range to make your next stop -- should you go faster so as to have more time to spend on the charger, or go slower and save charging time?
The fastest enroute theoretical here is when you drive fast enough to consume power at the same rate the charger provides it at, and, well, that's damn fast. I suspect that a 110kW is a lot closer to the redline on the car than the legal limit, so you really want to drive this "gumball style". This also means that you want to leave the charger as soon as the charging rate starts to taper. If, driven like this, you don't have enough range to make the next Supercharger, then things are different. You'll want to take more charge (after the tapering starts) and slow down (to increase range) only as much as is necessary to arrive at zero at the next Supercharger. The two interact as well; if you need to slow to a 70kW draw, you should also have charged to a 70kW taper. The last leg of the trip is driven wide-open, since you are not counting the time to recover the battery to the initial state of charge in the coast-to-coast time.
The proof that this is done right would be that you arrive at each Supercharger empty and spend exactly half of the total time on the trip charging!
So, ironically, you didn't spend enough time charging on your trip!
2. The “Least amount of Non-drive time of 12 hour, 48 minutes, and 19 seconds. AKA total charge time coast to coast.
The least amount of non-drive time trip would be the same as the least energy used trip (and of course, using Superchargers only until the taper starts).
This would be a combination of driving the shortest distance and driving at the best-range speed. Tesla published a speed-vs-range graph here:
Range vs. Speed Graph | Forums | Tesla Motors which implies that the optimal speed for this record would be about 22mph. You'd better put that SUV behind you instead of in front!
Since your range would be around 450 miles(!) (less after the first charge, because you'll want to leave as soon as the taper begins), you should instead be thinking about more optimal (shorter distance) routing and skipping Superchargers (when there is a significant off-route distance required to get to one). Of course, this assumes 100% availability of the chargers; so a safer algorithm might be to stop at every one on your route, and if it isn't available immediately, then skip it and go to the next.
Ken